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Unformatted text preview: Page 1 of6 ‘ Page 2 of8 EF 15‘] Exam #4 Spring 2006 ' 1‘ A 2850 1b car going around a 1546 f: radius curve has atotal acceleration QB 50 ft/scc2 What is the
’ ’ net force on the car? N : KEY S t' : ;
ame ec Ion 310 “D This exam consists of 10 short—answer questions, each worth 10 points ‘ ‘ 4: \ i . g #1
Qaéide {39% mi Medea“, Swen +0 0» was em on Be sure to."
 Show all of your work ;
0 Include units for all answers { ‘ ,
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 Include the correct number ofsignificant digits j FM} M
0 Include directions for all vectors i _ 15335550 “3
‘ w ”s s
. Write your ﬁnal answer in the box provided 1 ’ aim 2! ‘ 62
i . , 5
Hints:
 Stay calm f at
. Glance over all problems, tackle the “easy" ones first ’ ’5 l O H: 0 Use reasonableness to guide you
 Allow yourself an average of 5 minutes per problem Geometry/Trig Constant Acceleration Projectile Motion
v2 =V1+aAt y—yo=(x—xc)tzuu9—2g (1+1m11i911—x3)2
V i
52 = 51+(V1 :‘JZJAI 6 — launch angle 2 a v0 — launch velocity c m, yo — launch position, positive up 52 = 51+let+%aAt2 Areaofacircle=7tr2 2 2 ‘ _ .1 ' i ‘ =23k ' 'tt' h se
Volume of a cylinder = nigh 52 = 51 + 112 _ v1 ‘ 2 lhe bk meuy go round 15 xevolvmg at constant 5 0 rpm Lazydog (mass g) 15 51 mg on a 01 Law of Sines 2a Relative Motion 8 o. meters from the cenLeI of the ude What ls the not hDIIZOHIdl force on Lazy dog
' ' ‘ n (F lmsll the glven FBD = 10))
5111A _ smB smL VB’ = +VB/ _ VA, VB/ =—v
a b ‘ 5 Uniform Circular'Motion /G /G ”1 'A 3 Law of Cosines an — centripetal acceleration 53,. {9 N
2 2 2 v — speed ——
c = a + b  Zab COSC P _ radius of curvature Force andAcceIeration w — rotational speed Fm : m5 ’1. Useful Conversions T  period ' o F W ‘
 1 gallon = 231 cubic inches f—frequency Fl ﬂ V 1 gallon = 4 quarts ¢ — angle ’ C 0" 1 ga3lon = 128 fluid ounces Fm : ’ur (/0  5 red 2’“ inAiub MBA — 513 MA 1m £1000 ' _ v2 Fl.M = N j ' M, .——————~— My» a ’56: 1 acre = 43,560 ft‘ a,‘ = ; (any curve) 7‘" ” 'u" 4 i mu» (”2“ {59 sec. 1 mile = 8 furlongs 1fath =6ft = 2 : ... L“ f . ~ ': M 1 rod Tiesn a" pa) ‘ V 2 a)?  {.3523 eagjifé S Q: LL46 [S 1 chain = 22 yards 1 / '1. 1inch=254mm " \I _, GAS“ “3 1walt=1Nm/sec . (10:...— ,, 5» ,3 233st 1 hp = 745 7 watts (approx ) 3 r (S (S m 1hp=550itlblsec « 1 lb = 4 45 N (approx) 1m=1000mm F1“ Mar; 1 (~23 L§3<2‘33W$% 1 g = 3212 ft/secz = 981 m/sec2 Page 3 of6 Page 4 of6 3‘ A golf ball shootei launches a S 0 gram golf ball at 7‘0 m’s The amount oftime the fame is applied to 5 Paul 10516 the brakes on 1115 new bike and Sklds $1110“le '50 a 5130}? With an 300916131011 0f magnitude
the ball is 00070 seconds‘ What is the magnitude of the aveIage force? 3 0 m/s2 What 1s the coefﬁcient of kinetic fiiction between the ti1es and the road? (FBD= KD required) Y}
alléxlms“ F 1)AKN Fimeeﬁ 31cm m N 1 Mg 4 A 900 N block sits without moving on a 23° ramp It is partially held in place by a 100 N force What is 6 A 1230 kg rocket ship in outer space has an acceleiation of (— 790; + 61 3 i)"; / s 2 ‘ What is the
the magmtude and direction of the ﬁiction force on the block? (FBD required) magnitude of the net force of thc rocket’s engines? i ii arm“? 1. law? mat3y mo “/5; w M ‘ ‘ MEX. : @130 kQQWM/sz) ER: 0 1 {DONi F 4100 smzs 1H moms I: REEQDCI} N
F ; 252 M loggers: immaﬁzn : Moi maid» etc} 5mm “is: gm. 2; $1:th ZF‘l' “ ’2'“ qQCCﬁEZB
1:: 2&3“ ‘— 35 @ZQ’A m ”M 9.3 MML QM‘drlzsm 3;}
CB( 5 Li 3m§3m§$13 mfnz‘m Em 3 NM? Page 5 of 6 7 Patrick is hauling apples with another new tractor ‘ Patrick and the tractor weigh 3300N‘ The trailer and
apples weigh 848 N A cow crosses his path and he slams on the brakes, slowing dovm at a constant rate
of 5 0 W5? What is the magnitude of‘the force in the coupling between the tractor and the trailer?
Assume that the trailer wheels roll freely while stopping (FBD = KD required) 432K) +
‘4’,“ Draw FED wa Kb 0; Arm“ ‘348N 4 p Y
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C.  432,20 (aw maﬁa @ usws m 3 348 4e ($.03) : .. 432,251 8 Betsy wants to run a 100 foot diameter ferris wheel fast enough so that the riders feel like they leave
their seat when they are at the top of the ride‘ What constant angular speed (radians/sec) is requued for
this to happen? (FBD = KD required) 0.802. ”Gd/SM Draw \F‘E’D a”) ‘40 at gain] {ZED “1'591530’18273 Page 6 of 6 9‘ What is the magnitude of force P requireckto startlhe 150 lb engine block moving on a level
'7 t  ‘ ﬂoor. (FBD required) L ”Pad“? min: A ) F em N ll; 2 o 50 (97, l lb uk=ol4o
p ? \SoUva \}1 “in; tax
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‘3‘“25 r 0,5? 10‘ Answer the following concept questions Give a short explanation for each answer H carries the most force? A Coupling A B Coupling B C A and B carry the same force D C an’t tell from the information given Reason: Newt”; Z”) [aw Vilma E ha; 5mg,“ a larger M~£$ All wheels roll freely  which coupling l kg A 10000 lb airplane has engines which produce 3000 lb thrust. It ﬂies in a straight
line at a constant speed. What is the net force acting on the plane? A‘Olb E 104401b Bi 30001b F 130001b C 7000 lb G depends on the speed of'the plane D 10000 lb Reason: Nagviaﬁ \5“ \e i Consimvl Velaoij mam; he ne'i “(one A small car collides with a large truck.
Which one experiences the larger impact force?
A‘ the car
B the truck
Ci both the same
Du depends upon the velo‘lcity of each I‘ l Reason: Neuiu‘; 2 aw eaual am} oppasnie rﬁaa‘i’ion Z 9“?» amak corral} Anselm} l p‘i “A com» rest“ 3 \ pir S‘s» “glans ...
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